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What else can I help you with?
What is the sum of a fractional number and its additive inverse?
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
What is the matrix that if you multiplied by the original matrix you would get the identity matrix?
The matrix that, when multiplied by the original matrix, yields the identity matrix is known as the inverse matrix. For a given square matrix ( A ), its inverse is denoted as ( A^{-1} ). The relationship is expressed as ( A \times A^{-1} = I ), where ( I ) is the identity matrix. Not all matrices have inverses; a matrix must be square and have a non-zero determinant to possess an inverse.
What can you conclude about signs of two integers whose product is positive and negative?
If the product of two integers is positive, both integers must have the same sign, meaning they are either both positive or both negative. Conversely, if the product is negative, one integer must be positive and the other must be negative. This relationship reflects the fundamental rules of multiplication with respect to signs.
If the slopes of two lines are negative reciprocals the lines are perpendicular?
Yes, if the slopes of two lines are negative reciprocals of each other, then the lines are perpendicular. This means that if the slope of one line is ( m ), the slope of the other line must be ( -\frac{1}{m} ). For example, if one line has a slope of -2, the other line must have a slope of (\frac{1}{2}) for the lines to intersect at a right angle. This relationship holds true in a Cartesian coordinate system.
How are slopes related for perpendicular lines?
For two lines to be perpendicular, the product of their slopes must equal -1. If one line has a slope of ( m_1 ), the slope of the line perpendicular to it, ( m_2 ), can be found using the relationship ( m_1 \cdot m_2 = -1 ). This means that if you know the slope of one line, you can find the slope of the perpendicular line by taking the negative reciprocal of that slope. Thus, if ( m_1 ) is not zero, ( m_2 = -\frac{1}{m_1} ).
Can two lines with positive slopes be parallel?
yes they can be parallel because for a pair of lines to be parallel the slope must be the same no matter if the slope is positive or negative.
What changes the slope parameter in y mx would result in a graph with positive correlation?
y=mx+[1] The number in the [] must be positive
Why negative numbers don't have logarithim?
The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)
What are inverse numbers?
An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
What is the additive inverse of -391?
391 A number and its additive inverse must equal zero.
What are inversions?
An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
What is the sum of a fractional number and its additive inverse?
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
Why does the production possibility frontier has negative slope?
The production possibility frontier (PPF) has a negative slope because it illustrates the trade-offs between two goods or services that an economy can produce with limited resources. As production of one good increases, resources must be reallocated from the production of the other good, leading to a decrease in its output. This reflects the principle of opportunity cost, where producing more of one item comes at the expense of producing less of another. Thus, the negative slope signifies the inverse relationship between the quantities of two goods produced.
If the period of a wave decreases its frequency must?
Period and frequency are inverse to each other, as period increases frequency decreases. So, to answer this question as the period of the wave decreases its frequency must increase.
What is the matrix that if you multiplied by the original matrix you would get the identity matrix?
The matrix that, when multiplied by the original matrix, yields the identity matrix is known as the inverse matrix. For a given square matrix ( A ), its inverse is denoted as ( A^{-1} ). The relationship is expressed as ( A \times A^{-1} = I ), where ( I ) is the identity matrix. Not all matrices have inverses; a matrix must be square and have a non-zero determinant to possess an inverse.
How can you tell from a linear equation which direction it goes without graphing the equation?
You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.
What can you conclude about signs of two integers whose product is positive and negative?
If the product of two integers is positive, both integers must have the same sign, meaning they are either both positive or both negative. Conversely, if the product is negative, one integer must be positive and the other must be negative. This relationship reflects the fundamental rules of multiplication with respect to signs.
